What is the Greatest Common Factor of 94874 and 94887?

Greatest common factor (GCF) of 94874 and 94887 is 13.

GCF(94874,94887) = 13

We will now calculate the prime factors of 94874 and 94887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94874 and 94887.

How to find the GCF of 94874 and 94887?

We will first find the prime factorization of 94874 and 94887. After we will calculate the factors of 94874 and 94887 and find the biggest common factor number .

Step-1: Prime Factorization of 94874

Prime factors of 94874 are 2, 13, 41, 89. Prime factorization of 94874 in exponential form is:

94874 = 2¹ × 13¹ × 41¹ × 89¹

Step-2: Prime Factorization of 94887

Prime factors of 94887 are 3, 13, 811. Prime factorization of 94887 in exponential form is:

94887 = 3² × 13¹ × 811¹

Step-3: Factors of 94874

List of positive integer factors of 94874 that divides 94874 without a remainder.

1, 2, 13, 26, 41, 82, 89, 178, 533, 1066, 1157, 2314, 3649, 7298, 47437

Step-4: Factors of 94887

List of positive integer factors of 94887 that divides 94874 without a remainder.

1, 3, 9, 13, 39, 117, 811, 2433, 7299, 10543, 31629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94874 and 94887. The biggest common factor number is the GCF number.
So the greatest common factor 94874 and 94887 is 13.

Also check out the Least Common Multiple of 94874 and 94887